Finding the Third Proportional to 10,002 and 13,623

Step by Step Solution

1. Step 1: Write the proportion equation
   10,002 : 13,623 = 13,623 : x
2. Step 2: Convert to fraction form
   10,002/13,623 = 13,623/x
3. Step 3: Cross multiply
   10,002x = 13,623 × 13,623
4. Step 4: Simplify right side
   10,002x = 185,586,129
5. Step 5: Solve for x
   x = 185,586,129/10,002
6. Step 6: Final answer
   x = 18,554.90